Let (\(\Gamma\),[\(\lambda\) ]) be a principal measured groupoid with countable orbits. We introduce a notion of a homogeneous extension of \(\Gamma\). This is an analogue of an extension of a group action on a measure space. It is shown that there is a relation between homogeneous extensions and certain finite group actions on the von Neumann algebra associated with \(\Gamma\). We also introduce a notion of an equivalence of homogeneous extensions, and give an example of two homogeneous extensions which are not equivalent.